X-Ray Binary Stars and Ovarian Follicle Growth: Math Models in Astrophysics and Physiology

Astronomy and Astrophysics – Astrophysics

Scientific paper

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X-Ray Binary Stars, Biomedical Engineering, Dwarf Novae, Accretion Disks, X-Ray Binaries, Engineering, Dwarf Galaxies, Infall, Accretion, And Accretion Disks

Scientific paper

The scientific investigation of Nature relies on mathematics. While mathematics itself is precise, its application to the understanding of nature always involves an approximation. The approximate nature of mathematical application ultimately limits the scientific approach to Nature, but the freedom to make appropriate approximations allows us to understand complex phenomena on the basis of a few simple principles in approaches that are limited only by imagination. Here we review and compare two mathematical models of natural phenomena in astrophysics and physiology. The astrophysical model describes the emission of polarized radiation from a magnetic cataclysmic variable; the physiological model describes growth and competition among ovarian follicles under the influence of circulating hormones. In each case, the understanding offered by the mathematical model must be verified by fitting the model to data; this is part of the usual scientific method. In the follicle model case, we show how model fits may also be used for medical diagnostic purposes.

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